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Probability based on Normal distribution and Empirical Rule.

The mean amount of time a (unnamed) computer server is down is 18.3 minutes with a standard deviation of 5.7 minutes.

a. Assuming we can verify that the data set is approximately normally distributed, what percentage of times will the server be down less than 24 minutes?

b. Assuming we can verify that the data set is approximately normally distributed, 68% of the server downtimes will be within what range?

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